What is \sqrt[1000]{10^{741}} ?

The solution to \sqrt[1000]{10^{741}} is 10^{741/1000}

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simplify \sqrt[1000]{10^{741}}

simplify

1 0^{\frac{741}{1000}}

Solution steps

Apply radical rule:

= (1 0^{741})^{\frac{1}{1000}}

Apply exponent rule:

(a^{b})^{c} = a^{b c}

= 1 0^{741 \cdot \frac{1}{1000}}

741 \cdot \frac{1}{1000} = \frac{741}{1000}

= 1 0^{\frac{741}{1000}}

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What is \sqrt[1000]{10^{741}} ?
The solution to \sqrt[1000]{10^{741}} is 10^{741/1000}